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Finding the Fourth Proportional to 1,158.72, 1,598.05 and 864.69

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Solution

The fourth proportional to 1,158.72, 1,598.05 and 864.69 is: 1,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.72 : 1,598.05 = 864.69 : x
  2. Step 2: Convert to fraction form
    1,158.72/1,598.05 = 864.69/x
  3. Step 3: Cross multiply
    1,158.72x = 1,598.05 × 864.69
  4. Step 4: Simplify right side
    1,158.72x = 1,381,817.85
  5. Step 5: Solve for x
    x = 1,381,817.85/1,158.72
  6. Step 6: Final answer
    x = 1,192.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.